For the system in the given figure. The transfer function C(s)/R(s) is G1 + G2 +

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Question
For the system in the given figure. The transfer function C(s)/R(s) is
Options
A. G₁ + G₂ + 1
B. G₁ G₂ + 1
C. G₁ G₂ + G₂ + 1
D. G₁ G₂ + G₁ + 1

Correct Answer

G₁ G₂ + G₂ + 1

Explanation

Transfer function = (G₁ + 1) G₂ + 1 = G₁ G₂ + G₂ + 1.

Automatic Control Systems problems

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1. Assertion (A): The steady state response, of a stable, linear, time invariant system, to sinusoidal input depends on initial conditions.
Reason (R): Frequency response, in steady state, is obtained by replacing s in the transfer function by j?
Options
A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is correct but R is wrong
D. R is correct but A is wrong

3. For very low frequencies, v₀/v_i in the given figure equals
Options
A. 1
B. 0
C. ?
D. 0.5

4. Whether a linear system is stable or unstable that it
Options
A. is a property of the system only
B. depends on the input function only
C. both (a) and (b)
D. either (a) or (b)

7. In a two phase ac servomotor rotor resistance is R and rotor reactance is X. The speed curve will be linear if
Options
A.
B.
C.
D. X² = R

8. For the system of the given figure, the damping ratio of closed loop poles is
Options
A. 1.5
B. 1
C. 0.5
D. 0.25

9. A system has its two poles on the negative real axis and one pair of poles lies on j? axis. The system is
Options
A. stable
B. unstable
C. limitedly stable
D. either (a) or (c)

10. For type 2 system, the magnitude and phase angle of the term (j?)² in the denominator, at ? = 0, are respectively
Options
A. 0 and - 90�
B. 0 and + 90�
C. infinity and - 180�
D. infinity and + 180�

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